Objective: How to create a linear equation given two points on a graph.
Creator: Ms. Blasioli
Explanation: First you must find the slope using the two points and the slope formula .
Once you determine the slope, you can now substitute into the slope-intercept form of a linear equation . Substitute in the slope for m, and then sub in the value for the and the value for the . You are now ready to solve for the in the slope-intercept equation. This will give you the y-intercept. When you have the y-intercept and the slope, then you can write the equation in the slope intercept form.
Sample: Given (4, 5) and (8, 3), write the linear equation that passes through these two points. First find the slope:
Use the 1st order pair (4,5) and substitute in 4 for x, 5 for y and -2 for m and find the b (the y-intercept).
Finally, write the equation of the line passing through points (4, 5) and (8, 3). The equation in slope-intercept form is
Objective: How to create a linear equation given two points on a graph.
Creator: Ms. Blasioli
Explanation: First you must find the slope using the two points
and the slope formula
.
Once you determine the slope, you can now substitute into the slope-intercept form of a linear equation
. Substitute in the slope for m, and then sub in the
value for the
and the
value for the
. You are now ready to solve for the
in the slope-intercept equation. This will give you the y-intercept. When you have the y-intercept and the slope, then you can write the equation in the slope intercept form.
Sample: Given (4, 5) and (8, 3), write the linear equation that passes through these two points. First find the slope:
Use the 1st order pair (4,5) and substitute in 4 for x, 5 for y and -2 for m and find the b (the y-intercept).
Finally, write the equation of the line passing through points (4, 5) and (8, 3). The equation in slope-intercept form is